What is the Greatest Common Factor of 71052 and 71066?

Greatest common factor (GCF) of 71052 and 71066 is 2.

GCF(71052,71066) = 2

We will now calculate the prime factors of 71052 and 71066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71052 and 71066.

How to find the GCF of 71052 and 71066?

We will first find the prime factorization of 71052 and 71066. After we will calculate the factors of 71052 and 71066 and find the biggest common factor number .

Step-1: Prime Factorization of 71052

Prime factors of 71052 are 2, 3, 31, 191. Prime factorization of 71052 in exponential form is:

71052 = 2² × 3¹ × 31¹ × 191¹

Step-2: Prime Factorization of 71066

Prime factors of 71066 are 2, 35533. Prime factorization of 71066 in exponential form is:

71066 = 2¹ × 35533¹

Step-3: Factors of 71052

List of positive integer factors of 71052 that divides 71052 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 191, 372, 382, 573, 764, 1146, 2292, 5921, 11842, 17763, 23684, 35526

Step-4: Factors of 71066

List of positive integer factors of 71066 that divides 71052 without a remainder.

1, 2, 35533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71052 and 71066. The biggest common factor number is the GCF number.
So the greatest common factor 71052 and 71066 is 2.

Also check out the Least Common Multiple of 71052 and 71066